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Finding the Fourth Proportional to 67,654.34, 101,481.94 and 17,734

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Solution

The fourth proportional to 67,654.34, 101,481.94 and 17,734 is: 26,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,654.34 : 101,481.94 = 17,734 : x
  2. Step 2: Convert to fraction form
    67,654.34/101,481.94 = 17,734/x
  3. Step 3: Cross multiply
    67,654.34x = 101,481.94 × 17,734
  4. Step 4: Simplify right side
    67,654.34x = 1,799,680,723.96
  5. Step 5: Solve for x
    x = 1,799,680,723.96/67,654.34
  6. Step 6: Final answer
    x = 26,601.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.